Urs Lang: Catalogue data in Spring Semester 2020

Name Prof. Dr. Urs Lang
Professur für Mathematik
ETH Zürich, HG G 27.3
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 60 11
RelationshipFull Professor

401-3532-08LDifferential Geometry II Information 10 credits4V + 1UU. Lang
AbstractIntroduction to Riemannian geometry in combination with some elements of modern metric geometry. Contents: Riemannian manifolds, Levi-Civita connection, geodesics, Hopf-Rinow Theorem, curvature, second fundamental form, Riemannian submersions and coverings, Hadamard-Cartan Theorem, triangle and volume comparison, relations between curvature and topology, spaces of Riemannian manifolds.
ObjectiveLearn the basics of Riemannian geometry and some elements of modern metric geometry.
Literature- M. P. do Carmo, Riemannian Geometry, Birkhäuser 1992
- S. Gallot, D. Hulin, J. Lafontaine, Riemannian Geometry, Springer 2004
- B. O'Neill, Semi-Riemannian Geometry, With Applications to Relativity, Academic Press 1983
Prerequisites / NoticePrerequisite is a working knowledge of elementary differential geometry (curves and surfaces in Euclidean space), differentiable manifolds, and differential forms.
401-5530-00LGeometry Seminar Information 0 credits1KM. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang, A. Sisto, University lecturers
AbstractResearch colloquium